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Finding the Fourth Proportional to 3,527.27, 5,290.74 and 1,446.76

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Solution

The fourth proportional to 3,527.27, 5,290.74 and 1,446.76 is: 2,170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.27 : 5,290.74 = 1,446.76 : x
  2. Step 2: Convert to fraction form
    3,527.27/5,290.74 = 1,446.76/x
  3. Step 3: Cross multiply
    3,527.27x = 5,290.74 × 1,446.76
  4. Step 4: Simplify right side
    3,527.27x = 7,654,441.68
  5. Step 5: Solve for x
    x = 7,654,441.68/3,527.27
  6. Step 6: Final answer
    x = 2,170.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.